Divergent torus orbits in homogeneous spaces of Q-rank two

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Let G be the real points of a semisimple algebraic Q-group, let H be an arithmetic subgroup of G and let T be the real points of an R-split torus in G. We prove that if there is a divergent T-orbit in G/H, and Q-rank(G) > 1, then the dimension of T is not larger than Q-rank(G). This provides a partial answer to a question of G.Tomanov and B.Weiss.
10 pages, no figures

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Differential Geometry, 53C35

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http://salesiana.dossiersoluciones.com/handle/123456789/72405

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409121
 http://arxiv.org/abs/math/0409121

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arXiv